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Finding the Fourth Proportional to 97,116.50, 134,024.42 and 53,510.84

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Solution

The fourth proportional to 97,116.50, 134,024.42 and 53,510.84 is: 73,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116.50 : 134,024.42 = 53,510.84 : x
  2. Step 2: Convert to fraction form
    97,116.50/134,024.42 = 53,510.84/x
  3. Step 3: Cross multiply
    97,116.50x = 134,024.42 × 53,510.84
  4. Step 4: Simplify right side
    97,116.50x = 7,171,759,294.71
  5. Step 5: Solve for x
    x = 7,171,759,294.71/97,116.50
  6. Step 6: Final answer
    x = 73,846.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.